The commutative property states that factors can be multiplied in any order and the product is always the same. While each of our answer choices are real equations, only one correctly displays this property:

This problem could easily turn into some super heavy calculations, but nobody has time for that.  Instead, we can make this problem very easy by utilizing the commutative property of multiplication, which in essence says that numbers can be multiplied in any order.  

In other words,     and    

That means that rather multiplying our numbers in their orginal order, which can actually change the order of the numbers without affecting the final product.  At this point we should notice that one of our numbers is  while another is .  Similarly the fractions  and  are each accompanied by their recripocals  and  respecitively.  At this point we must also remember the multiplicative inverse property, which tells us that the product of a number and its reciprocal will always be 1.  With that in mind, the strategic way to order the multiplication is as follows:

Doing this pairs each number up with its reciprocal.  Finally, we can utlize the associative properpty of multiplication, which tells us that we can multiply any two numbers at a time.

In other words, .  This allows us to pair off the multiplication as follows.

Within each parentheses we now have a number multiplied by its reciprocal.  Remembering that this always equals 1, we can simplify, giving

Our answer is 1.

The communitive property of multiplication is a property that states that the numbers can be multiplied in any combination. To show which answer is correct simply regroup the numbers in a different or and you will have your answer.

The commutative property of multiplication states that 2 numbers can be multiplied in any order. Therefore, 

displays the commutative property of multiplication.

The associative property of addition states:

When considering only addition and subtraction, the order of operations does not matter.

Working left to right use the distributive property by multiplying the 4 to each term in parentheses.

Now, use the associative property to group like terms. Note that cannot be combined because they are not like terms.

Like terms can be combined with addition or subtraction.

The rule for Associative Property of Addition is

Expression given in the question is: 

Hence the property is Associative of Addition.

The rule for Associative Property of Addition is 

Using this rule, the expression  can be written as 

The Associative Property of Addition says that when we add more than two numbers the grouping of the addends does not change the sum.

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only 

demonstrates this property, so it is the correct choice.